Robustness of quantum-randomness expansion protocols in the presence of noise

Piotr Mironowicz*, Marcin Pawlowski

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

12 Citations (Scopus)


In this paper we investigate properties of several randomness generation protocols in the device-independent framework. Using Bell-type inequalities it is possible to certify that the numbers generated by an untrusted device are indeed random. We present a selection of certificates which guarantee two bits of randomness for each run of the experiment in the noiseless case and require the parties to share a maximally entangled state. To compare them we study their efficiency in the presence of white noise. We find that for different amounts of noise different operators are optimal for certifying most randomness. Therefore, the vendor of the device should use different protocols depending on the amount of noise expected to occur. Another of our results that we find particularly interesting is that using a single Bell operator as a figure of merit is rarely optimal.

Original languageEnglish
Article number032319
Number of pages8
JournalPhysical Review A: Atomic, Molecular and Optical Physics
Issue number3
Publication statusPublished - 18 Sept 2013




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